Steve is participating in a cross county bike race. Every 2 hours he travels between 42 and 54 miles. Four hours ago, Steve had traveled 56 miles from the start of the race. Which is a reasonable measure of Steve's distance from the start of the race now?

A.
178 miles
B.
154 miles
C.
116 miles
D.
130 miles

To determine a reasonable measure of Steve's distance from the start of the race now, we need to calculate his current distance based on the information provided.

Four hours ago, Steve had traveled 56 miles from the start of the race. Since he travels between 42 and 54 miles every 2 hours, we can calculate his average speed during those 4 hours:

Average speed = (56 miles) / (4 hours) = 14 miles per hour

Now, we can calculate his current distance from the start of the race:

Current distance = (Average speed) × (Number of hours since 4 hours ago) + (Distance traveled 4 hours ago)
Current distance = (14 miles per hour) × (4 hours) + (56 miles)
Current distance = 56 miles + 56 miles
Current distance = 112 miles

Therefore, a reasonable measure of Steve's distance from the start of the race now is 112 miles.

The correct answer is:

C. 116 miles

To find a reasonable measure of Steve's distance from the start of the race now, we need to consider the information given.

We know that every 2 hours, Steve travels between 42 and 54 miles.

Four hours ago, Steve had traveled 56 miles from the start of the race.

If we assume that Steve has been consistently traveling at the same rate throughout the race, we can calculate the minimum and maximum distances he could have traveled in the 4 hours since then.

Minimum distance travelled in 4 hours: 2 hours x 42 miles = 84 miles
Maximum distance travelled in 4 hours: 2 hours x 54 miles = 108 miles

To find a reasonable measure, we need to consider the midpoint between the minimum and maximum distances.

Midpoint = (Minimum distance + Maximum distance) / 2
Midpoint = (84 miles + 108 miles) / 2
Midpoint = 192 miles / 2
Midpoint = 96 miles

Since Steve had traveled 56 miles from the start of the race four hours ago, we add this distance to the midpoint to find a reasonable measure of his distance from the start of the race now.

Steve's distance from the start of the race now = 56 miles + 96 miles = 152 miles.

Therefore, a reasonable measure of Steve's distance from the start of the race now is 152 miles.

The correct answer is B. 154 miles.

average rate=(42+54)/2=48 miles/2hr=24mi/hr

estiamte in 4 hours=4 *24=96 miles

total from start=96+56= 152